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Simplifying (9x + 7)(2x + -5) = 0 Reorder the terms: (7 + 9x)(2x + -5) = 0 Reorder the terms: (7 + 9x)(-5 + 2x) = 0 Multiply (7 + 9x) * (-5 + 2x) (7(-5 + 2x) + 9x * (-5 + 2x)) = 0 ((-5 * 7 + 2x * 7) + 9x * (-5 + 2x)) = 0 ((-35 + 14x) + 9x * (-5 + 2x)) = 0 (-35 + 14x + (-5 * 9x + 2x * 9x)) = 0 (-35 + 14x + (-45x + 18x2)) = 0 Combine like terms: 14x + -45x = -31x (-35 + -31x + 18x2) = 0 Solving -35 + -31x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -9x)(5 + -2x) = 0Subproblem 1
Set the factor '(-7 + -9x)' equal to zero and attempt to solve: Simplifying -7 + -9x = 0 Solving -7 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 0 + 7 -9x = 0 + 7 Combine like terms: 0 + 7 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-0.7777777778, 2.5}
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